Can the sum of two transcendental numbers be a non-transcendental number?

  1. TarekMamdouh profile image71
    TarekMamdouhposted 2 years ago

    Can the sum of two transcendental numbers be a non-transcendental number?

  2. connorj profile image76
    connorjposted 2 years ago

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    Indeed; although I do understand this, I cannot take credit for devising this solution. However, the answer is quite simply yes. One rather ingenious method to derive this is noting that if a number is transcendental, then so is its negative. Then the sum of this, must be zero. Zero is not irrational or if you will, transcendental.

 
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